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Finding the Third Proportional to 597,831,036 and 1,293,919,284

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Solution

The third proportional to 597,831,036 and 1,293,919,284 is: 2,800,502,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,831,036 : 1,293,919,284 = 1,293,919,284 : x
  2. Step 2: Convert to fraction form
    597,831,036/1,293,919,284 = 1,293,919,284/x
  3. Step 3: Cross multiply
    597,831,036x = 1,293,919,284 × 1,293,919,284
  4. Step 4: Simplify right side
    597,831,036x = 1,674,227,113,507,072,768
  5. Step 5: Solve for x
    x = 1,674,227,113,507,072,768/597,831,036
  6. Step 6: Final answer
    x = 2,800,502,169.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.